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272375434816 = 268927332
BaseRepresentation
bin1111110110101011010…
…1110100111001000000
3222001001022102201100021
43331222311310321000
513430311102403231
6325043314503224
725451500665412
oct3755265647100
9861038381307
10272375434816
11a5571917641
1244955b94b14
131c8b9931154
14d27c3a09b2
1571423a7811
hex3f6ad74e40

272375434816 has 63 divisors (see below), whose sum is σ = 547382986131. Its totient is φ = 134473810944.

The previous prime is 272375434789. The next prime is 272375434823. The reversal of 272375434816 is 618434573272.

The square root of 272375434816 is 521896.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 24674126400 + 247701308416 = 157080^2 + 497696^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 371589586 + ... + 371590318.

Almost surely, 2272375434816 is an apocalyptic number.

272375434816 is the 521896-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272375434816

272375434816 is an abundant number, since it is smaller than the sum of its proper divisors (275007551315).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

272375434816 is an frugal number, since it uses more digits than its factorization.

272375434816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1656 (or 824 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 52.

The spelling of 272375434816 in words is "two hundred seventy-two billion, three hundred seventy-five million, four hundred thirty-four thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 32 64 89 178 356 712 733 1424 1466 2848 2932 5696 5864 7921 11728 15842 23456 31684 46912 63368 65237 126736 130474 253472 260948 506944 521896 537289 1043792 1074578 2087584 2149156 4175168 4298312 5806093 8596624 11612186 17193248 23224372 34386496 46448744 47818721 92897488 95637442 185794976 191274884 371589952 382549768 765099536 1530199072 3060398144 4255866169 8511732338 17023464676 34046929352 68093858704 136187717408 272375434816